Additive number theory

Conjecture that every even integer greater than 2 is the sum of two primes

problem in number theory

theorem

conjecture about prime numbers

theorem

theorem that an odd prime is a sum of two squares iff it is of the form 4𝑛+1

theorem

constant in number theory

theorem that every nonnegative integer is the sum of three perfect squares unless it is a product of a power of four and a number that is 7 modulo 8

the mathematical problem of characterizing which integers are representable as sums of three cubes of integers

study of subsets of integers and behavior under addition

in additive number theory, a way to measure how dense a sequence of numbers is

conjecture that any odd integer >5 equals an odd prime plus an even semiprime

infinite prime numbers of the form a^2+b^4

positive integer that can be written as the sum of two or more consecutive positive integers

four integers where the sum of the squares of three equal the square of the fourth

theorem

Theorem on the number of sum-free sets contained in 1,...,N

theorem in number theory

field in the intersection of number theory, combinatorics, ergodic theory and harmonic analysis